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3x + Y = 5 − 6x − 2y = 9 - Mathematics

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प्रश्न

3x + y = 5
− 6x − 2y = 9

उत्तर

Given: 3x + y = 5
          − 6x − 2y = 9

\[D = \begin{vmatrix}3 & 1 \\ - 6 & - 2\end{vmatrix} = - 6 + 6 = 0\] 
\[ D_{1 =} \begin{vmatrix}5 & 1 \\ 9 & - 2\end{vmatrix} = - 10 - 9 = - 19\] 
\[ D_2 = \begin{vmatrix}3 & 5 \\ - 6 & 9\end{vmatrix} = 27 + 30 = 57\]Here, D1 and D2 are non-zero, but D is zero. Thus, the system of linear equations is inconsistent.

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अध्याय 6: Determinants - Exercise 6.4 [पृष्ठ ८४]

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आरडी शर्मा Mathematics [English] Class 12
अध्याय 6 Determinants
Exercise 6.4 | Q 23 | पृष्ठ ८४

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